Maximum Drag Reduction Asymptotes and the Cross-Over to the Newtonian Plug

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dc.creatorBenzi, R.
dc.creatorDe Angelis, E.
dc.creatorProcaccia, I.
dc.creatorL'vov, V. S.
dc.creatorTiberkevich, V.
dc.date2004-05-13
dc.date.accessioned2026-07-07T05:35:33Z
dc.date.available2026-07-07T05:35:33Z
dc.descriptionWe employ the full FENE-P model of hydrodynamics of a dilute polymer solutions to derive a theoretical approach to drag reduction in wall bounded turbulence. We recapture the results of a recent simplified theory which derived the universal Maximum Drag Reduction (MDR) asymptote, and complement that theory with a discussion of the cross-over from the MDR to the Newtonian plug when the drag reduction saturates. The FENE-P model gives rise to a rather complex theory due to the interaction of the velocity field with the polymeric conformation tensor, making analytic estimates quite taxing. To overcome this we develop the theory in a computer-assisted manner, checking at each point the analytic estimates by Direct Numerical Simulations (DNS) of viscoelastic turbulence in a channel.
dc.description10 pages, 6 figures. submitted to J. Fluid. Mech
dc.identifierhttps://arxiv.org/abs/nlin/0405033
dc.identifierhttp://arxiv.org/abs/nlin/0405033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80731
dc.subjectChaotic Dynamics
dc.titleMaximum Drag Reduction Asymptotes and the Cross-Over to the Newtonian Plug
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